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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Integrate the following functions with respect to x : cos 3x cos 2x - Mathematics

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Question

Integrate the following functions with respect to x :

cos 3x cos 2x

Sum

Solution

`int cos 3x cos 2x  "d"x = int 1/2 (2 cos 3x cos 2x)  "d"x`

= `1/2 int [cos(3x + 2x) + cos(3x - 2x)]  "d"x`

= `1/2 int (cos 5x + cos x)  "d"x`

= `1/2 [int cos 5x  "d"x + int cos x  "d"x]`

= `1/2 [(sin 5x)/5 + sin x] + "c"`

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Chapter 11: Integral Calculus - Exercise 11.5 [Page 202]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.5 | Q 10 | Page 202
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